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Showing 1 to 6 of 6 for “"Differential Inclusion"”.
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Dissipative Lipschitz dynamics
… theory. Given a control system modelled as a differential inclusion, we provide necessary and sufficient conditions for the strong invariance property of the system when the dynamic satisfies a dissipative Lipschitz condition. We show that when the dynamic is almost upper semicontinuous and …
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Second order necessary conditions in optimal control
… second-order variations along a trajectory to a differential inclusion. Assuming only that the problem's data are Lipschitz continuous, we obtain a generalized form of the familiar statement that the second variation associated with a minimum point is nonnegative. The result is expressed in terms …
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On simulation based verification of nonlinear nondeterministic hybrid systems
… set of dynamical systems $A$ with non-linear differential inclusions. The algorithm constructs a sequence of shrink concretizations of $A$. Then the reach sets of the concretizations are used to construct an overapproximation of the reach set of $A$. Soundness and Completeness of both …
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Optimization for control and planning of multi-contact dynamic motion
… impacts and friction. We leverage the measure differential inclusion representation of non-smooth contact mechanics to efficiently optimize over Lyapunov functions in multi-contact settings. Since avoiding hazardous falls is a primary necessity for bipedal walking robots, we use similar tools …
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Automated Optimization and Control of Modular Chemical Systems
… known as a diagonal norm-bounded linear differential inclusion is employed to derive sufficient criteria for estimation and control in the form of linear or bilinear matrix inequality problems using quadratic Lyapunov functions. A computational case study demonstrates the applicability of …
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Nonlinear Analysis and Control of Standalone, Parallel DC-DC, and Parallel Multi-Phase PWM Converters
Applications of distributed-power systems are on the rise. They are already used in telecommunication power supplies, aircraft and shipboard power-distribution systems, motor drives, plasma applications, and they are being considered for numerous other applications. The successful operation of …