This paper addresses the computation of the L2-induced gain for switched linear systems. The main contribution of the paper is to completely characterize the induced gain of a switched system though a differential ine...
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In this paper, we establish stability conditions for a special class of interconnected systems arisen in several biochemical applications. It is known that most of the biochemical processes can be represented using qu...
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This article considers a path planning problem for a single fixed-wing aircraft performing a reconnaissance mission using EO (Electro-Optical) camera(s). A mathematical formulation of the general aircraft visual recon...
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Manipulation of particles suspended in fluids is crucial for many applications,such as precision machining,chemical processes,bio-engineering,and self-feeding of *** this paper,we study the problem of particle manipul...
Manipulation of particles suspended in fluids is crucial for many applications,such as precision machining,chemical processes,bio-engineering,and self-feeding of *** this paper,we study the problem of particle manipulation by cyclic fluid boundary excitations from a geometric-control *** focus on the simplified problem of manipulating a single particle by generating controlled cyclic motion of a circular rigid body in a two-dimensional perfect *** show that the drift in the particle location after one cyclic motion of the body can be interpreted as the geometric phase of a connection induced by the system.s *** formulate the problem as a control system,and derive a geometric criterion for its nonlinear ***,by exploiting the geometric structure of the system,we explicitly construct a feedback-based gait that results in attraction of the particle towards the rigid *** argue that our gait is robust and model-independent,and demonstrate it in both perfect fluid and Stokes fluid.
Andy Packard, an expert from University of California at Berkeley (UCB) mechanicalengineering Department shares views on the use of sum-of-squares (SOS) methods to determine the region of attraction (ROA). SOS applie...
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Andy Packard, an expert from University of California at Berkeley (UCB) mechanicalengineering Department shares views on the use of sum-of-squares (SOS) methods to determine the region of attraction (ROA). SOS applies to polynomials in several real variables and a polynomial is a finite linear combination of monomials. The ROA can be visualized by simulating the system from many initial conditions and plotting the trajectories in a phase plane plot for systems with two or three states. SOS techniques can be used to perform nonlinear analyses, including computation of input/output gains, estimation of reachable sets, and computation of robustness margins. The approaches that apply to SOS methods includes the computational requirements that grow rapidly in the number of variables and polynomial degree, which roughly limits SOS-based analysis to systems with at most eight to ten states, one to two inputs, and polynomial vector fields of degree 3.
This paper addresses the ℒ 2 -induced gain analysis for switched linear systems. We exploit non-conservative necessary and sufficient conditions for the induced gain to lie below a prescribed positive constant and dis...
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This paper addresses the ℒ 2 -induced gain analysis for switched linear systems. We exploit non-conservative necessary and sufficient conditions for the induced gain to lie below a prescribed positive constant and discuss on the induced gains of switched systems obtained for different classes of switching signals, which distinct regularity assumptions are placed on. We particularly show that the induced gain that is obtained for the class of every piecewise constant switching signal can also be attained by the more restricted classes of switching signals.
This paper addresses the computation of the ℒ 2 -induced gain for switched linear systems. The main contribution of the paper is to completely characterize the induced gain of a switched system though a differential i...
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This paper addresses the computation of the ℒ 2 -induced gain for switched linear systems. The main contribution of the paper is to completely characterize the induced gain of a switched system though a differential inequalities on a finitely parametrized common storage function, one equation for each system being switched. The motivation for computing the induced gain of a switched system is the application of robust stability tools to the analysis of hybrid systems.
The motion of microorganisms as well as of tiny robotic swimmers for biomedical applications is governed by low Reynolds number (Re) hydrodynamics, where viscous effects dominate and inertial effects are negligible. T...
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ISBN:
(纸本)9781424474264
The motion of microorganisms as well as of tiny robotic swimmers for biomedical applications is governed by low Reynolds number (Re) hydrodynamics, where viscous effects dominate and inertial effects are negligible. This paper presents experimental results that verify theoretical predictions of our recent work which analyzed the dynamics and stability of a low-Re swimmer near a plane wall. The experimental setup uses macro-scale swimmer prototypes which are propelled by rotating cylinders in highly viscous silicone oil. The motion is recorded by a video camera and position measurements are taken by an optical tracking system. The results show good qualitative agreement with our recent theoretical predictions.
In this issue of IEEE controlsystems Magazine, Andy Packard and friends respond to a query on determining the region of attraction using sum-of-squares methods.
In this issue of IEEE controlsystems Magazine, Andy Packard and friends respond to a query on determining the region of attraction using sum-of-squares methods.
In this paper, we propose a model reduction scheme for a special class of polynomial dynamicalsystems. The biochemical processes and networks are our main motivation for this study. It is well known that many biochem...
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ISBN:
(纸本)9781424477456
In this paper, we propose a model reduction scheme for a special class of polynomial dynamicalsystems. The biochemical processes and networks are our main motivation for this study. It is well known that many biochemical processes can be represented using quasi-polynomial systems. We show that a special class of quasi-polynomial systems can be cast in the Lotka-Volterra canonical form. For a given polynomial dynamical system, we propose a procedure to verify whether a given set of polynomials represents an invariant manifold of the system. Then, we study under what algebraic conditions a Lotka-Volterra system admits invariant manifolds. Finally, we combine our results with tools from differential algebra to propose a model reduction procedure for polynomial dynamicalsystems.
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