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1991•SIAM Journal on Control and OptimizationRequires access

Viability Problems for Nonautonomous Differential Inclusions

Péter Tallos

Open publisher page 24 citations

Abstract

In this paper the existence of viable solutions to nonautonomous differential inclusions is proved. The set-valued map on the right-hand side is assumed to be integrably bounded, measurable in t, and upper semicontinuous in x with nonempty convex, compact values. The cases of convex and nonconvex viability domains and also the time-dependent case are considered. An example for control systems is also given.

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What this paper is about

In this paper the existence of viable solutions to nonautonomous differential inclusions is proved. The set-valued map on the right-hand side is assumed to be integrably bounded, measurable in t, and upper semicontinuous in x with nonempty convex, compact values. The cases of convex and nonconvex viability domains and also the time-dependent case are considered. An example for control systems is also given.

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OpenAlex reports 24 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper the existence of viable solutions to nonautonomous differential inclusions is proved. The set-valued map on the right-hand side is assumed to be integrably bounded, measurable in t, and upper semicontinuous in x with nonempty convex, compact values. The cases of convex and nonconvex viability domains and also the time-dependent case are considered. An example for control systems is also given.

Key concepts: Differential inclusion, Mathematics, Bounded function, Regular polygon, Set (abstract data type), Mathematical analysis, Pure mathematics, Applied mathematics

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